Use point-slope form to write the equation of a line that passes through the point left bracket, minus, 7, comma, minus, 8, right bracket(−7,−8) with slope minus, start fraction, 3, divided by, 11, end fraction− 11 3 ​

Answer 1

The point-slope form of a line is given by $y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is a point on the line and $m$ is the slope.

Given that the line passes through the point $(-7, -8)$ and has a slope of $\frac{-11}{3}$, we can write the equation as $y - (-8) = \frac{-11}{3}(x - (-7))$.

Simplifying this equation gives $y + 8 = \frac{-11}{3}(x + 7)$.